Difference between revisions of "2024 AMC 10A Problems"
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==Problem 24== | ==Problem 24== | ||
− | + | A bee is moving in three-dimensional space. A fair six-sided die with faces labeled <math>A^+ | |
− | <math>\textbf{(A) }\qquad\textbf{(B) }\qquad\textbf{(C) }\qquad\textbf{(D) }\qquad\textbf{(E) } | + | </math>\textbf{(A) }\qquad\textbf{(B) }\qquad\textbf{(C) }\qquad\textbf{(D) }\qquad\textbf{(E) }$ |
[[2024 AMC 10A Problems/Problem 24|Solution]] | [[2024 AMC 10A Problems/Problem 24|Solution]] |
Revision as of 15:22, 8 November 2024
2024 AMC 10A (Answer Key) Printable versions: • AoPS Resources • PDF | ||
Instructions
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1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 |
Contents
[hide]- 1 Problem 1
- 2 Problem 2
- 3 Problem 3
- 4 Problem 4
- 5 Problem 5
- 6 Problem 6
- 7 Problem 7
- 8 Problem 8
- 9 Problem 9
- 10 Problem 10
- 11 Problem 11
- 12 Problem 12
- 13 Problem 13
- 14 Problem 14
- 15 Problem 15
- 16 Problem 16
- 17 Problem 17
- 18 Problem 18
- 19 Problem 19
- 20 Problem 20
- 21 Problem 21
- 22 Problem 22
- 23 Problem 23
- 24 Problem 24
- 25 Problem 25
- 26 See also
Problem 1
What is the value of
Problem 2
A model used to estimate the time it will take to hike to the top of the mountain on a trail is of the form where and are constants, is the time in minutes, is the length of the trail in miles, and is the altitude gain in feet. The model estimates that it will take minutes to hike to the top if a trail is miles long and ascends feet, as well as if a trail is miles long and ascends feet. How many minutes does the model estimates it will take to hike to the top if the trail is miles long and ascends feet?
Problem 3
What is the sum of the digits of the smallest prime that can be written as a sum of distinct primes?
Problem 4
The number 2024 is written as the sum of not necessarily distinct two-digit numbers. What is the least number of two-digit numbers needed to write this sum?
Problem 5
XXX
Problem 6
XXX
Problem 7
The product of three integers is 60. What is the least possible positive sum of the three integers?
Problem 8
XXX
Problem 9
In how many ways can 6 juniors and 6 seniors form 3 disjoint teams of 4 people so that each team has 2 juniors and 2 seniors?
Problem 10
XXX
Problem 11
XXX
Problem 12
XXX
Problem 13
XXX
Problem 14
XXX
Problem 15
XXX
Problem 16
XXX
Problem 17
XXX
Problem 18
XXX
Problem 19
XXX
Problem 20
XXX
Problem 21
XXX
Problem 22
XXX
Problem 23
XXX
Problem 24
A bee is moving in three-dimensional space. A fair six-sided die with faces labeled \textbf{(A) }\qquad\textbf{(B) }\qquad\textbf{(C) }\qquad\textbf{(D) }\qquad\textbf{(E) }$
Problem 25
XXX
See also
2024 AMC 10A (Problems • Answer Key • Resources) | ||
Preceded by 2023 AMC 10B Problems |
Followed by 2024 AMC 10B Problems | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AMC 10 Problems and Solutions |